TSTP Solution File: SEU305+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU305+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:32:53 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 59 ( 18 unt; 0 def)
% Number of atoms : 242 ( 55 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 277 ( 94 ~; 99 |; 65 &)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 72 ( 57 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f501,plain,
$false,
inference(subsumption_resolution,[],[f498,f112]) ).
fof(f112,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( sK1 != sK2
& below(sK0,sK2,sK1)
& below(sK0,sK1,sK2)
& element(sK2,the_carrier(sK0))
& element(sK1,the_carrier(sK0))
& join_semilatt_str(sK0)
& join_commutative(sK0)
& ~ empty_carrier(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f47,f87,f86,f85]) ).
fof(f85,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& below(X0,X2,X1)
& below(X0,X1,X2)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& join_semilatt_str(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ? [X2] :
( X1 != X2
& below(sK0,X2,X1)
& below(sK0,X1,X2)
& element(X2,the_carrier(sK0)) )
& element(X1,the_carrier(sK0)) )
& join_semilatt_str(sK0)
& join_commutative(sK0)
& ~ empty_carrier(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X1] :
( ? [X2] :
( X1 != X2
& below(sK0,X2,X1)
& below(sK0,X1,X2)
& element(X2,the_carrier(sK0)) )
& element(X1,the_carrier(sK0)) )
=> ( ? [X2] :
( sK1 != X2
& below(sK0,X2,sK1)
& below(sK0,sK1,X2)
& element(X2,the_carrier(sK0)) )
& element(sK1,the_carrier(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
( ? [X2] :
( sK1 != X2
& below(sK0,X2,sK1)
& below(sK0,sK1,X2)
& element(X2,the_carrier(sK0)) )
=> ( sK1 != sK2
& below(sK0,sK2,sK1)
& below(sK0,sK1,sK2)
& element(sK2,the_carrier(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& below(X0,X2,X1)
& below(X0,X1,X2)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& join_semilatt_str(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& below(X0,X2,X1)
& below(X0,X1,X2)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& join_semilatt_str(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ( join_semilatt_str(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( below(X0,X2,X1)
& below(X0,X1,X2) )
=> X1 = X2 ) ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ( join_semilatt_str(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( below(X0,X2,X1)
& below(X0,X1,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_lattices) ).
fof(f498,plain,
sK1 = sK2,
inference(superposition,[],[f489,f323]) ).
fof(f323,plain,
sK2 = join(sK0,sK1,sK2),
inference(subsumption_resolution,[],[f322,f105]) ).
fof(f105,plain,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f88]) ).
fof(f322,plain,
( sK2 = join(sK0,sK1,sK2)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f321,f107]) ).
fof(f107,plain,
join_semilatt_str(sK0),
inference(cnf_transformation,[],[f88]) ).
fof(f321,plain,
( sK2 = join(sK0,sK1,sK2)
| ~ join_semilatt_str(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f320,f108]) ).
fof(f108,plain,
element(sK1,the_carrier(sK0)),
inference(cnf_transformation,[],[f88]) ).
fof(f320,plain,
( sK2 = join(sK0,sK1,sK2)
| ~ element(sK1,the_carrier(sK0))
| ~ join_semilatt_str(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f318,f109]) ).
fof(f109,plain,
element(sK2,the_carrier(sK0)),
inference(cnf_transformation,[],[f88]) ).
fof(f318,plain,
( sK2 = join(sK0,sK1,sK2)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0))
| ~ join_semilatt_str(sK0)
| empty_carrier(sK0) ),
inference(resolution,[],[f125,f110]) ).
fof(f110,plain,
below(sK0,sK1,sK2),
inference(cnf_transformation,[],[f88]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,X2)
| join(X0,X1,X2) = X2
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( below(X0,X1,X2)
| join(X0,X1,X2) != X2 )
& ( join(X0,X1,X2) = X2
| ~ below(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( join_semilatt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).
fof(f489,plain,
sK1 = join(sK0,sK1,sK2),
inference(forward_demodulation,[],[f480,f448]) ).
fof(f448,plain,
sK1 = join_commut(sK0,sK1,sK2),
inference(forward_demodulation,[],[f447,f327]) ).
fof(f327,plain,
sK1 = join(sK0,sK2,sK1),
inference(subsumption_resolution,[],[f326,f105]) ).
fof(f326,plain,
( sK1 = join(sK0,sK2,sK1)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f325,f107]) ).
fof(f325,plain,
( sK1 = join(sK0,sK2,sK1)
| ~ join_semilatt_str(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f324,f109]) ).
fof(f324,plain,
( sK1 = join(sK0,sK2,sK1)
| ~ element(sK2,the_carrier(sK0))
| ~ join_semilatt_str(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f319,f108]) ).
fof(f319,plain,
( sK1 = join(sK0,sK2,sK1)
| ~ element(sK1,the_carrier(sK0))
| ~ element(sK2,the_carrier(sK0))
| ~ join_semilatt_str(sK0)
| empty_carrier(sK0) ),
inference(resolution,[],[f125,f111]) ).
fof(f111,plain,
below(sK0,sK2,sK1),
inference(cnf_transformation,[],[f88]) ).
fof(f447,plain,
join(sK0,sK2,sK1) = join_commut(sK0,sK1,sK2),
inference(forward_demodulation,[],[f440,f365]) ).
fof(f365,plain,
join_commut(sK0,sK2,sK1) = join_commut(sK0,sK1,sK2),
inference(resolution,[],[f359,f109]) ).
fof(f359,plain,
! [X0] :
( ~ element(X0,the_carrier(sK0))
| join_commut(sK0,X0,sK1) = join_commut(sK0,sK1,X0) ),
inference(subsumption_resolution,[],[f358,f105]) ).
fof(f358,plain,
! [X0] :
( join_commut(sK0,X0,sK1) = join_commut(sK0,sK1,X0)
| ~ element(X0,the_carrier(sK0))
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f357,f106]) ).
fof(f106,plain,
join_commutative(sK0),
inference(cnf_transformation,[],[f88]) ).
fof(f357,plain,
! [X0] :
( join_commut(sK0,X0,sK1) = join_commut(sK0,sK1,X0)
| ~ element(X0,the_carrier(sK0))
| ~ join_commutative(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f346,f107]) ).
fof(f346,plain,
! [X0] :
( join_commut(sK0,X0,sK1) = join_commut(sK0,sK1,X0)
| ~ element(X0,the_carrier(sK0))
| ~ join_semilatt_str(sK0)
| ~ join_commutative(sK0)
| empty_carrier(sK0) ),
inference(resolution,[],[f143,f108]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& join_semilatt_str(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) )
=> join_commut(X0,X1,X2) = join_commut(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_lattices) ).
fof(f440,plain,
join(sK0,sK2,sK1) = join_commut(sK0,sK2,sK1),
inference(resolution,[],[f434,f109]) ).
fof(f434,plain,
! [X0] :
( ~ element(X0,the_carrier(sK0))
| join_commut(sK0,X0,sK1) = join(sK0,X0,sK1) ),
inference(subsumption_resolution,[],[f433,f105]) ).
fof(f433,plain,
! [X0] :
( join_commut(sK0,X0,sK1) = join(sK0,X0,sK1)
| ~ element(X0,the_carrier(sK0))
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f432,f106]) ).
fof(f432,plain,
! [X0] :
( join_commut(sK0,X0,sK1) = join(sK0,X0,sK1)
| ~ element(X0,the_carrier(sK0))
| ~ join_commutative(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f421,f107]) ).
fof(f421,plain,
! [X0] :
( join_commut(sK0,X0,sK1) = join(sK0,X0,sK1)
| ~ element(X0,the_carrier(sK0))
| ~ join_semilatt_str(sK0)
| ~ join_commutative(sK0)
| empty_carrier(sK0) ),
inference(resolution,[],[f144,f108]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| join_commut(X0,X1,X2) = join(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( join_commut(X0,X1,X2) = join(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( join_commut(X0,X1,X2) = join(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& join_semilatt_str(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) )
=> join_commut(X0,X1,X2) = join(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_lattices) ).
fof(f480,plain,
join(sK0,sK1,sK2) = join_commut(sK0,sK1,sK2),
inference(resolution,[],[f437,f108]) ).
fof(f437,plain,
! [X0] :
( ~ element(X0,the_carrier(sK0))
| join_commut(sK0,X0,sK2) = join(sK0,X0,sK2) ),
inference(subsumption_resolution,[],[f436,f105]) ).
fof(f436,plain,
! [X0] :
( join_commut(sK0,X0,sK2) = join(sK0,X0,sK2)
| ~ element(X0,the_carrier(sK0))
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f435,f106]) ).
fof(f435,plain,
! [X0] :
( join_commut(sK0,X0,sK2) = join(sK0,X0,sK2)
| ~ element(X0,the_carrier(sK0))
| ~ join_commutative(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f422,f107]) ).
fof(f422,plain,
! [X0] :
( join_commut(sK0,X0,sK2) = join(sK0,X0,sK2)
| ~ element(X0,the_carrier(sK0))
| ~ join_semilatt_str(sK0)
| ~ join_commutative(sK0)
| empty_carrier(sK0) ),
inference(resolution,[],[f144,f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU305+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 10:53:16 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (27904)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (27910)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 % (27907)WARNING: value z3 for option sas not known
% 0.13/0.38 % (27905)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (27906)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (27909)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (27911)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38 % (27907)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (27908)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.40 TRYING [1]
% 0.13/0.40 TRYING [2]
% 0.13/0.40 TRYING [3]
% 0.13/0.40 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.41 % (27907)First to succeed.
% 0.21/0.41 % (27907)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27904"
% 0.21/0.41 % (27907)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (27907)------------------------------
% 0.21/0.42 % (27907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.42 % (27907)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (27907)Memory used [KB]: 1048
% 0.21/0.42 % (27907)Time elapsed: 0.031 s
% 0.21/0.42 % (27907)Instructions burned: 29 (million)
% 0.21/0.42 % (27904)Success in time 0.061 s
%------------------------------------------------------------------------------